Group inverses and Drazin inverses over Banach algebras. (English) Zbl 0790.15005

Necessary and sufficient conditions are given for the existence of group and Drazin inverses of matrices over a complex commutative unital Banach algebra. Explicit formulas are provided for the inverses. Properties of these inverses and an application to operator theory are discussed.


15A09 Theory of matrix inversion and generalized inverses
47C05 Linear operators in algebras
46J05 General theory of commutative topological algebras
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